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 A192228 Primes of the form (n+1)^6+(n+2)^6+(n+3)^6-666. 0
 425783, 263145359, 744158711, 1805712959, 32484102023, 103206118583, 271979814143, 324434645039, 454854785303, 626321908703, 6944429711711, 21648847849679, 23586002145119 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Sum of three consecutive numbers with exponent 6, the difference with 666 generate prime number of the form 3n^6 +36n^5 +210n^4 +720n^3 +1470n^2 +1656n +128. LINKS Table of n, a(n) for n=1..13. EXAMPLE 425783 = 6^6+7^6+8^6-666 and 744158711 = 24^6+25^6+26^6-666 are in the sequence. MATHEMATICA lst={}; Do[If[PrimeQ[p=(n+1)^6+(n+2)^6+(n+3)^6-666], AppendTo[lst, p]], {n, 200}]; lst Select[Total/@(Partition[Range[200], 3, 1]^6)-666, PrimeQ] (* Harvey P. Dale, Dec 14 2011 *) PROG (PARI) for(n=1, 1e3, if(isprime(k=(n+1)^6+(n+2)^6+(n+3)^6-666), print1(k", "))) \\ Charles R Greathouse IV, Jul 01 2011 CROSSREFS Sequence in context: A204412 A233499 A282337 * A234737 A206082 A209794 Adjacent sequences: A192225 A192226 A192227 * A192229 A192230 A192231 KEYWORD nonn AUTHOR Rafael Parra Machio, Jun 26 2011 STATUS approved

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Last modified July 21 10:41 EDT 2024. Contains 374472 sequences. (Running on oeis4.)